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[Pil12] Vincent Pilloni, Sur la théorie de Hida pour le groupeGSp2g, Bull · 2012

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Overconvergent Eichler-Shimura morphisms for $\mathrm{GSp}_4$

math.NT · 2025-06-03 · conditional · novelty 7.0

The full four-step Eichler-Shimura decomposition for GSp4 is interpolated along p-adic weight families, and near any nice-enough eigenvariety point it splits with Hodge-Tate-Sen weights (-3, κ2-2, κ1-1, κ1+κ2).

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  • Overconvergent Eichler-Shimura morphisms for $\mathrm{GSp}_4$ math.NT · 2025-06-03 · conditional · none · ref 17

    The full four-step Eichler-Shimura decomposition for GSp4 is interpolated along p-adic weight families, and near any nice-enough eigenvariety point it splits with Hodge-Tate-Sen weights (-3, κ2-2, κ1-1, κ1+κ2).